8

Part of 2022 MMATHS

Problems(2)

2022 MMATHS Team Online p8 - number puzzle

Source:

In the number puzzle below, each cell contains a digit, each cell in the same bolded region has the same digit, and cells in different bolded regions have different digits. The answers to the clues are to be read as three-, four-, or five-digit numbers. Find the unique solution to the puzzle, given that no answer to any clue has a leading

0

. https://cdn.artofproblemsolving.com/attachments/b/a/23514673819aea46c30fd2947f8c82710a1fb3.png

MMATHSnumber theory

2022 MMATHS Individual p8 - sum of gcd of 64 pairs

Source:

S = \{1, 2, 3, 5, 6, 10, 15, 30\}

. For each of the

64

(a, b)

S

gcd(a, b)

. They then sum all of the numbers they computed. What is AJ’s sum?

number theorygreatest common divisorMMATHS